Abstract
The natural vibration behavior of a pretwisted windmill blade of composite cross section is investigated using finite element analysis. Application of Hamilton's principle of dynamics embedded in three dimensional beam theory leads to equations of motion of an element. The consistent mass matrix, linear stiffness matrix, inertial damping matrix, stiffness matrix due to frame rotation, as well as geometric stiffening stiffness matrix due to centrifugal force are derived. A structural module for analysis of the natural vibration of beams is then developed to obtain the various natural vibration modes of blades under rotating conditions. A number of pretwist angles, root angles, as well as rotating velocities are assumed so that the effects of such parameters on the natural vibration behavior of a rotating blade may be realized.
Published Version
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